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AiryBi




Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryBi[z] > Series representations > Asymptotic series expansions > Expansions for any z in exponential form > Using exponential function with branch cut-containing arguments





http://functions.wolfram.com/03.06.06.0013.01









  


  








Input Form





AiryBi[z] \[Proportional] (1/((-z^3)^(5/12) (2 Sqrt[Pi]))) (((-1)^(5/12) (z + (-z^3)^(1/3)/(-1)^3^(-1)) HypergeometricPFQ[{1/6, 5/6}, {}, (3 I)/(4 Sqrt[-z^3])])/E^((2/3) I Sqrt[-z^3]) - (-1)^(7/12) E^((2/3) I Sqrt[-z^3]) (z + (-1)^(1/3) (-z^3)^(1/3)) HypergeometricPFQ[{1/6, 5/6}, {}, -((3 I)/(4 Sqrt[-z^3]))]) /; (Abs[z] -> Infinity)








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29